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Prog. Theor. Phys. Vol. 104 No. 1 (2000) pp. 55-61

[ Full Text PDF : FREE ACCESS (148K) ]

Localized State in a Nonlinear Resistor Network

Hidetsugu Sakaguchi

Department of Applied Sciences for Electronics and Materials
Interdisciplinary Graduate School of Engineering Sciences
Kyushu University, Kasuga 816-8580, Japan

(Received March 3, 2000)

Abstract:

A simple model equation is proposed to understand a mechanism of localized states in dissipative systems. This is a very simplified model for filament-like discharge patterns and can be expressed as a nonlinear resistor network model through spatial discretization. The model equation is piecewise linear and can be solved exactly.


URL : http://ptp.ipap.jp/link?PTP/104/55/
DOI : 10.1143/PTP.104.55

[ Full Text PDF : FREE ACCESS (148K) ] Citation:


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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 117 No. 2 (2007) pp. 219-228 :
    Pattern Formation in a Simple Electric Circuit Model of Barrier Discharge
    Hidetsugu Sakaguchi